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Convergence for a family of discrete advection–reaction operators

✍ Scribed by Francisco J. Solis; Fausto Ongay; Silvia Jerez; Marcos Capistran

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
447 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

We define a family of discrete Advection-reaction operators, denoted by A aλ , which associate to a given scalar sequence s = {s n } the sequence given by A aλ (s) ≡ {b n }, where b n = a n-2 s n-1 + λ n s n for n = 1, 2, . . . . For A aλ we explicitly find their iterates and study their convergence properties. Finally, we show the relationship between the family of discrete operators with the continuous one dimensional advection-reaction equation.

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